The quotient of the rational expressions is [tex]\rm \dfrac{x^2-x}{x-1}[/tex].
Rational Expression; [tex]\rm \dfrac{x}{x-1} [/tex] ÷[tex]\rm \dfrac{1}{x+1}[/tex]
Which of the following is the quotient of the rational expressions shown here?
Rational Expression; [tex]\rm \dfrac{x}{x-1} [/tex] ÷[tex]\rm \dfrac{1}{x+1}[/tex]
Then,
The quotient of the rational expressions is,
[tex]\rm \dfrac{x}{x-1} [/tex] ÷[tex]\rm \dfrac{1}{x+1}[/tex]
[tex]\rm =\dfrac{x}{x-1} \times \dfrac{x+1}{1}\\ \\ =\dfrac{x(x-1)}{x\times 1}\\ \\ =\dfrac{x^2-x}{x-1}[/tex]
Hence, The quotient of the rational expressions is [tex]\rm \dfrac{x^2-x}{x-1}[/tex].
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